Tierno, Jorge E. and Doyle, John C. (1995) Control problems and the polynomial time hierarchy. In: Proceedings of 1995 34th IEEE Conference on Decision and Control. Vol.3. IEEE , Piscataway, NJ, pp. 2927-2931. ISBN 0-7803-2685-7. https://resolver.caltech.edu/CaltechAUTHORS:20190319-100707731
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Abstract
Classifies control problems by exhibiting their alternating quantifier structure. This classification allows the authors to relate these control problems to the computational complexity classes of the polynomial time hierarchy. A specific synthesis problem for uncertain systems is shown to be hard in the class II^p_2.
| Item Type: | Book Section | ||||||||
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| Additional Information: | © 1995 IEEE. The authors are very grateful to Felipe Cucker for his assistance with the technical details of the Polynomial Time Hierarchy theory, and for explaining us the subtleties of the Blum Shub Smale computation model. This work was partially supported by NASA, NSF and AFOSR. | ||||||||
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| Subject Keywords: | complexity, stabilizability, polynomial hierarchy | ||||||||
| DOI: | 10.1109/CDC.1995.478587 | ||||||||
| Record Number: | CaltechAUTHORS:20190319-100707731 | ||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190319-100707731 | ||||||||
| Official Citation: | J. E. Tierno and J. C. Doyle, "Control problems and the polynomial time hierarchy," Proceedings of 1995 34th IEEE Conference on Decision and Control, New Orleans, LA, USA, 1995, pp. 2927-2931 vol.3. doi: 10.1109/CDC.1995.478587 | ||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||
| ID Code: | 93958 | ||||||||
| Collection: | CaltechAUTHORS | ||||||||
| Deposited By: | Tony Diaz | ||||||||
| Deposited On: | 19 Mar 2019 18:22 | ||||||||
| Last Modified: | 16 Nov 2021 17:01 |
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